Question

Выписано несколько последовательны членов геометрической прогрессии ...;162;х;18;-6;...найдите х

Answer 1

D=18/-6=-3
x= 18*(-3)=-54
ответ: -54

Answer 2

Finding the Value of x in a Geometric Progression

To find the value of x in the given geometric progression, we can use the formula for the nth term of a geometric progression:

The nth term of a geometric progression is given by: \[a_n = a_1 \times r^{(n-1)}\]

Where: - \(a_n\) = the nth term - \(a_1\) = the first term - \(r\) = the common ratio - \(n\) = the term number

In this case, we have the following terms in the geometric progression: ...; 162; x; 18; -6; ...

To find the value of x, we can use the given terms and the common ratio.

Calculating the Common Ratio

The common ratio (\(r\)) can be found by dividing any term by its preceding term. Let's use the given terms to calculate the common ratio.

1. Calculate the common ratio (\(r\)) using the given terms: - Common ratio (\(r\)) = \(\frac{a_2}{a_1} = \frac{162}{...}\)

Using the Common Ratio to Find x

Once we have the common ratio, we can use it to find the value of x.

2. Using the common ratio to find x: - \(x = 162 \times r\)

Conclusion

By following these steps, we can calculate the common ratio and use it to find the value of x in the given geometric progression.